In the first step,through using the formula of the conformal transformation,a continuous medium with regulation boundary in original area could be transformed to a homogeneous medium with anomalous boundary in complex area,so the new constant velocity field could be more adapt to the current Stolt migration's conditions.

In macro-scale of time and space,the dispersed cuttings phase is assumed to behave as continuous medium,which is termed "pseudo-fluid", and its dynamic regularity is shown in the view of statistics.

By using the law of reflection,the equation of time distance curve of reflection wave under the continuous medium tilted interface,is discussed.

Verification of the Drawing Theory in the Continuum (Ⅰ);

Verification of The Drawing Theory in the Continuum (Ⅱ);

Discussion on Seepage through Continuum and Seepage through Non-continuum;

Universal dynamics equation in continuous media was deduced using tensor.

While wells are producing, heat transfer in welibore is considered as heat conduction and convection in continuous media in vertical tube, heat transfer in production zones is considered as heat conduction and convection in porous media, heat transfer in adjacent rocks is considered as heat conduction in porous medi.

Reinforcement and concrete bear loads together by bonding on their interfaces,and interface stress is a discontinuous medium-related mechanical problem.

The stochastic interface stress element method for solving the reliability of continuous or discontinuous medium structures is introduced for the first time.

Classical yield criterions cannot be applied directly to Cosserat continua since the strain tensor and stress tensor in Cosserat continua are asymmetric.

Considering the characteristics of rockmass,a 3D coupled seepage model of jointed rock mass and its FEM program are developed, which is based on the conception of equivalent continuum and block fractured medium.